The problem is, you used a ridiculous quote. It wasnt insightful, it was the ramblings of someone who couldnt cope with the fact that their feeling dont change reality.
Its impossible to change sex, a man can never know what it is to be or feel female, and a woman doesnt know what it feels to be male.
A man can want to be a woman, but wanting isnt the same as being.
Thats the kindest way to interpret their feeling and demands. Tough, adults have to realise that they cant always get what they want.
You seem to think thats saying men truly believe they are women is meaningful. It isnt. Either these men dont know what women means, or they have decided they can change the definition of words.
That makes them a bit dim, or someone with a god complex. Why are you humouring these people?